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Stockholders' Equity (Schedule of Assumptions Used in Estimate of Fair Value of Stock Option Awards) (Details) - $ / shares
3 Months Ended 6 Months Ended
Mar. 31, 2017
Mar. 31, 2017
Mar. 31, 2016
Minimum [Member]      
Expected term 6 years 6 years 6 years 3 months 18 days
Estimated volatility 31.50% 31.50% 34.50%
Estimated dividend yield 0.70% 0.70% 1.00%
Risk-free interest rate 2.20% 2.20% 1.70%
Maximum [Member]      
Weighted-average grant date market value of Woodward stock $ 69.45 $ 69.45  
Grant date market value of Woodward stock     $ 40.26
Weighted-average exercise price per share $ 62.64 $ 62.64  
Exercise price per share     $ 40.26
Expected term 8 years 8 months 12 days 8 years 8 months 12 days 8 years 8 months 12 days
Estimated volatility 33.70% 33.70% 35.10%
Estimated dividend yield 0.70% 0.70% 1.00%
Risk-free interest rate 2.50% 2.50% 2.00%